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Finding the Fourth Proportional to 270,387.38, 405,586.53 and 83,398.90

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Solution

The fourth proportional to 270,387.38, 405,586.53 and 83,398.90 is: 125,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,387.38 : 405,586.53 = 83,398.90 : x
  2. Step 2: Convert to fraction form
    270,387.38/405,586.53 = 83,398.90/x
  3. Step 3: Cross multiply
    270,387.38x = 405,586.53 × 83,398.90
  4. Step 4: Simplify right side
    270,387.38x = 33,825,470,456.82
  5. Step 5: Solve for x
    x = 33,825,470,456.82/270,387.38
  6. Step 6: Final answer
    x = 125,100.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.